TÜRKÇE
ENGLISH
Information
| Code | MK135 |
| Name | Mathematic |
| Semester | 1. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ZERRİN GÜL ESMERLİGİL |
Course Goal
Understand basic properties of limit, continuity and derivative and use them drawing the graphs of functions, approximate calculations and problem solving.
Course Content
Sets and number sets, Functions, Limits, derivative and rule of derivative, Graph of functions.
Course Precondition
Yok
Resources
Analize Giriş Cilt I , Authors: Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez
Notes
Lecture Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students who successfully complete this course, Define the limit. |
| LO02 | Express the properties of the limit. |
| LO03 | Define the continuity |
| LO04 | Express to theorems on continuity |
| LO05 | Solve problems by using some of the properties of continuous functions. |
| LO06 | Define and compute derivatives. |
| LO07 | Compute irrational numbbers approximately with the help of derivatives. |
| LO08 | Find the maximum and minimum of functions of one variable. |
| LO09 | Draw graphs of functions of one variable. |
| LO10 | Solve practical problems. |
| LO11 | Use LHospitals rule to find limits. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Relates his/her knowledge in the field of chemistry to life and industry by relying on his/her knowledge | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Evaluates the developments in the world by following and perceiving the orientations in the industry. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Gains awareness of lifelong learning and renews his/her knowledge. | 4 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Access to information and associate their knowledge with other fields of science. | 4 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Understands the need to combine information in the application of information and perceives the total quality awareness. | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | S/he has knowledge in the use of resources, in the creation of technology depending on the country's resources. | 4 |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | S/he conveys what s/he knows to people close or distant to the subject by concretising. | 4 |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Gains the ability to access new information and technology. | 4 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Learns to think creatively and produce solutions to problems in the field. | 3 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | To be able to associate information by having the ability of reasoning and transfer what they know to practice. | 5 |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Sets up laboratory equipment and makes decisions alone. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | To be able to follow the current technology in the field of chemistry and gain added value. | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Follows the developments, gains the ability to follow the directions in the field. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Knowing information sharing and participating in teamwork and directing the team. | 5 |
| PLO15 | Beceriler - Bilişsel, Uygulamalı | Gains universal thinking and critical perspective. | 5 |
| PLO16 | Bilgi - Kuramsal, Olgusal | Starts to have a say in the field. | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Numbers: Rational and real numbers. Order. Absolute value. Real axis. Intervals. Inequalities. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 2 | Functions. Finding domain and range. Operations on functions and function types. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 3 | Increasing and decreasing functions. Inverse function. Graphics. Implicit functions. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 4 | Trigonometric functions. Problem-solving. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 5 | Limit of functions of one variable. Properties of limits. One-sided limits. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 6 | Infinite Limits . Limits at infinity. Continuity. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 7 | Continuous functions and their properties. Problem-solving. Derivatives, slope of the tangent. Geometric interpretation of the derivative. Rules of differentiation. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 8 | Mid-Term Exam | Review and Problem Solving | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | The chain rule. Higher-order derivatives. Derivative of inverse functions. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 10 | The inverse trigonometric functions and their derivatives. Problem-solving. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 11 | Rolle Theorem, Mean Value Theorem. Finding maximum and minimum . First and second derivative tests. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 12 | The second derivative and convexity. Asymptotes. Skethching graphs. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 13 | Applied maximum and minimum problems. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 14 | Exponential and logarithmic functions. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 15 | Indefinite forms and LHopitals rule. | Review of the relevant pages from sources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 16 | Term Exams | Review and Problem Solving | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review and Problem Solving | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||